Highest Common Factor of 571, 881, 209, 20 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 571, 881, 209, 20 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 571, 881, 209, 20 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 571, 881, 209, 20 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 571, 881, 209, 20 is 1.
HCF(571, 881, 209, 20) = 1
HCF of 571, 881, 209, 20 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 571, 881, 209, 20 is 1.
Highest Common Factor of 571,881,209,20 is 1
Step 1: Since 881 > 571, we apply the division lemma to 881 and 571, to get
881 = 571 x 1 + 310
Step 2: Since the reminder 571 ≠ 0, we apply division lemma to 310 and 571, to get
571 = 310 x 1 + 261
Step 3: We consider the new divisor 310 and the new remainder 261, and apply the division lemma to get
310 = 261 x 1 + 49
We consider the new divisor 261 and the new remainder 49,and apply the division lemma to get
261 = 49 x 5 + 16
We consider the new divisor 49 and the new remainder 16,and apply the division lemma to get
49 = 16 x 3 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 571 and 881 is 1
Notice that 1 = HCF(16,1) = HCF(49,16) = HCF(261,49) = HCF(310,261) = HCF(571,310) = HCF(881,571) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 209 > 1, we apply the division lemma to 209 and 1, to get
209 = 1 x 209 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 209 is 1
Notice that 1 = HCF(209,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 20 > 1, we apply the division lemma to 20 and 1, to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 20 is 1
Notice that 1 = HCF(20,1) .
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Frequently Asked Questions on HCF of 571, 881, 209, 20 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 571, 881, 209, 20?
Answer: HCF of 571, 881, 209, 20 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 571, 881, 209, 20 using Euclid's Algorithm?
Answer: For arbitrary numbers 571, 881, 209, 20 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.